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Finding the Fourth Proportional to 13,796, 19,038.54 and 7,508.36

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Solution

The fourth proportional to 13,796, 19,038.54 and 7,508.36 is: 10,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796 : 19,038.54 = 7,508.36 : x
  2. Step 2: Convert to fraction form
    13,796/19,038.54 = 7,508.36/x
  3. Step 3: Cross multiply
    13,796x = 19,038.54 × 7,508.36
  4. Step 4: Simplify right side
    13,796x = 142,948,212.19
  5. Step 5: Solve for x
    x = 142,948,212.19/13,796
  6. Step 6: Final answer
    x = 10,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.